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On admissible perturbations for exponential dichotomy |
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| Authors: | Osvaldo Mé ndez |
| Affiliation: | a University of Texas at El Paso, Department of Mathematical Sciences, 500 W University Ave., El Paso, TX 79968, USA b University of Oradea, Department of Mathematics and Informatics, Oradea, street Universitatii 1, Romania |
| Abstract: | In this work we obtain an optimal upper bound for exponential dichotomy roughness in infinite-dimensional Banach spaces. Unlike some previous works, we do not assume bounded growth. We consider linear, non-autonomous ordinary differential equations with bounded and unbounded coefficients. |
| Keywords: | Linear differential equations Perturbed equation Exponential dichotomy Roughness Banach space Linear differential equations with unbounded coefficients |
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